GCF of 68/26, 915/18, 632/32
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 68/26, 915/18, 632/32 i.e 1/3744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 68/26, 915/18, 632/32.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 68/26,915/18,632/32?
Given fractions are 68/26,915/18,632/32
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 68/26,915/18,632/32, numerators are 68,915,632
Denominators are 26,18,32
The GCF of 68,915,632 is 1 .
LCM of 26,18,32 is 3744.
The greatest common factor of 68/26,915/18,632/32 = [GCF of 68,915,632]/[LCM of 26,18,32]= 1/3744
Therefore, the GCF of 68/26,915/18,632/32 is 1/3744.
To find the highest common factor of 68,915,632, we have to find the factors of both numbers and list the highest common factor.
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915
The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632
The HCF of 68,915,632 is 1.
Lets's calculate GCF of 68,915,632
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 68,915,632 By Matching Biggest Common Factor Method
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 915
:1,3,5,15,61,183,305,915
Now, list down the factors of 632
:1,2,4,8,79,158,316,632
Greatest Common Factor
We found the factors 68,915,632 . The biggest common factor number is the GCF number.
So the greatest common factor 68,915,632 is 1.
Lets's calculate LCM of 26,18,32
| 2 | 26, 18, 32 |
| 13, 9, 16 |
∴ So the LCM of the given numbers is 2 x 13 x 9 x 16 = 3744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3744
Therefore, the GCF of Fractions 68/26,915/18,632/32 is 1/3744
Least Common Multiple of 26,18,32 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 26,18,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,18,32) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(26,18,32) x common factors =2 x 2 = 4
LCM(26,18,32) = ( 26 × 18 × 32 ) / 4
LCM(26,18,32) = 14976 / 4
LCM(26,18,32) = 3744
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FAQs on GCF of Fractions of 68/26, 915/18, 632/32
1. What is the HCF of 68,915,632?
The HCF of 68,915,632 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 68/26, 915/18, 632/32?
Answer: GCF of Numerators as per given numbers 68/26, 915/18, 632/32 is
GCF of Numerators i.e. for 68,915,632 is 1
LCM of denominators i.e. for 26,18,32 is 3744.
Thus, GCF of Fractions is 1/3744.Finally, GCF of Fractions for 68/26, 915/18, 632/32 is 1/3744.